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Finding the Fourth Proportional to 866.07, 1,299.66 and 345.99

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Solution

The fourth proportional to 866.07, 1,299.66 and 345.99 is: 519.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.07 : 1,299.66 = 345.99 : x
  2. Step 2: Convert to fraction form
    866.07/1,299.66 = 345.99/x
  3. Step 3: Cross multiply
    866.07x = 1,299.66 × 345.99
  4. Step 4: Simplify right side
    866.07x = 449,669.36
  5. Step 5: Solve for x
    x = 449,669.36/866.07
  6. Step 6: Final answer
    x = 519.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.